Pre-Algebra Examples

$(x^{2} + 10) \cdot (6 x)$

Step 1

Apply the distributive property.

$x^{2} (6 x) + 10 (6 x)$

Step 2

Simplify the expression.

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Step 2.1

Rewrite using the commutative property of multiplication.

$6 x^{2} x + 10 (6 x)$

Step 2.2

Multiply $6$ by $10$ .

$6 x^{2} x + 60 x$

Step 3

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$6 (x \cdot x^{2}) + 60 x$

Step 3.2

Multiply $x$ by $x^{2}$ .

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Step 3.2.1

Raise $x$ to the power of $1$ .

$6 (x^{1} x^{2}) + 60 x$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 x^{1 + 2} + 60 x$

Step 3.3

Add $1$ and $2$ .

$6 x^{3} + 60 x$